Eur. Phys. J. C (2015) 75: 173
https://doi.org/10.1140/epjc/s10052-015-3386-9

Regular Article - Theoretical Physics

Lorentz distributed noncommutative wormhole solutions in extended teleparallel gravity

Department of Mathematics, COMSATS Institute of Information Technology, Lahore, Pakistan

^* e-mail: jawadab181@yahoo.com
^** e-mail: abduljawad@ciitlahore.edu.pk

Received: 19 January 2015
Accepted: 2 April 2015
Published online: 28 April 2015

Abstract

In this paper, we study static spherically symmetric wormhole solutions in extended teleparallel gravity with the inclusion of noncommutative geometry under a Lorentzian distribution. We obtain expressions of matter components for a non-diagonal tetrad. The effective energy-momentum tensor leads to the violation of energy conditions which impose a condition on the normal matter to satisfy these conditions. We explore the noncommutative wormhole solutions by assuming a viable power-law and shape function models. For the first model, we discuss two cases in which one leads to teleparallel gravity and the other is for gravity. The normal matter violates the weak energy condition for the first case, while there exists a possibility for micro physically acceptable wormhole solution. There exists a physically acceptable wormhole solution for the power-law model. Also, we check the equilibrium condition for these solutions, which is only satisfied for the teleparallel case, while for the case, these solutions are less stable.